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Finding the Fourth Proportional to 30,147, 41,602.86 and 16,899

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Solution

The fourth proportional to 30,147, 41,602.86 and 16,899 is: 23,320.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,147 : 41,602.86 = 16,899 : x
  2. Step 2: Convert to fraction form
    30,147/41,602.86 = 16,899/x
  3. Step 3: Cross multiply
    30,147x = 41,602.86 × 16,899
  4. Step 4: Simplify right side
    30,147x = 703,046,731.14
  5. Step 5: Solve for x
    x = 703,046,731.14/30,147
  6. Step 6: Final answer
    x = 23,320.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.